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Finding the Fourth Proportional to 205,505.82, 308,257.29 and 105,693.84

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Solution

The fourth proportional to 205,505.82, 308,257.29 and 105,693.84 is: 158,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,505.82 : 308,257.29 = 105,693.84 : x
  2. Step 2: Convert to fraction form
    205,505.82/308,257.29 = 105,693.84/x
  3. Step 3: Cross multiply
    205,505.82x = 308,257.29 × 105,693.84
  4. Step 4: Simplify right side
    205,505.82x = 32,580,896,688.09
  5. Step 5: Solve for x
    x = 32,580,896,688.09/205,505.82
  6. Step 6: Final answer
    x = 158,540.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.